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Finding the Fourth Proportional to 380,625.84, 525,221.28 and 210,817.44

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Solution

The fourth proportional to 380,625.84, 525,221.28 and 210,817.44 is: 290,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,625.84 : 525,221.28 = 210,817.44 : x
  2. Step 2: Convert to fraction form
    380,625.84/525,221.28 = 210,817.44/x
  3. Step 3: Cross multiply
    380,625.84x = 525,221.28 × 210,817.44
  4. Step 4: Simplify right side
    380,625.84x = 110,725,805,683.12
  5. Step 5: Solve for x
    x = 110,725,805,683.12/380,625.84
  6. Step 6: Final answer
    x = 290,904.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.